Pertanyaan

Bentuk sederhana dari ( 3 2 p − 2 q 2 ) − 2 ( 3 p − 2 q 5 ) − 2 adalah ....

Bentuk sederhana dari $\frac{( 3 p ^{- 2} q ^{5} ) ^{- 2}}{( 3 ^{2} p ^{- 2} q ^{2} ) ^{- 2}}$ adalah $....$

N. Puspita

Master Teacher

Jawaban terverifikasi

Jawaban

Bentuk sederhana dari adalah

Bentuk sederhana dari open parentheses 3 p to the power of negative 2 end exponent q to the power of 5 close parentheses to the power of negative 2 end exponent over open parentheses 3 squared p to the power of negative 2 end exponent q squared close parentheses to the power of negative 2 end exponent space

open parentheses 3 p to the power of negative 2 end exponent q to the power of 5 close parentheses to the power of negative 2 end exponent over open parentheses 3 squared p to the power of negative 2 end exponent q squared close parentheses to the power of negative 2 end exponent space

adalah

table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell 9 over q to the power of 6. end cell end table

Pembahasan

Diketahui suatu eksponen . Berdasarkan sifat bilangan berpangkat negatif yaitu maka Berdasarkan sifat bilangan berpangkat pangkat dipangkatkan yaitu maka Berdasarkan sifat bilangan berpangkat pembagianyaitu sehingga diperoleh Dengan demikian,Bentuk sederhana dari adalah

Diketahui suatu eksponen open parentheses 3 p to the power of negative 2 end exponent q to the power of 5 close parentheses to the power of negative 2 end exponent over open parentheses 3 squared p to the power of negative 2 end exponent q squared close parentheses to the power of negative 2 end exponent space . Berdasarkan sifat bilangan berpangkat negatif yaitu a to the power of negative n end exponent equals 1 over a to the power of n maka

Berdasarkan sifat bilangan berpangkat pangkat dipangkatkan yaitu open parentheses a to the power of m close parentheses to the power of n equals a to the power of m cross times n end exponent maka

$table attributes columnalign right center left columnspacing 0px end attributes row cell open parentheses 3 p to the power of negative 2 end exponent q to the power of 5 close parentheses to the power of negative 2 end exponent over open parentheses 3 squared p to the power of negative 2 end exponent q squared close parentheses to the power of negative 2 end exponent space end cell equals cell open parentheses 3 squared p to the power of negative 2 end exponent q squared close parentheses squared over open parentheses 3 p to the power of negative 2 end exponent q to the power of 5 close parentheses squared end cell row cell open parentheses 3 p to the power of negative 2 end exponent q to the power of 5 close parentheses to the power of negative 2 end exponent over open parentheses 3 squared p to the power of negative 2 end exponent q squared close parentheses to the power of negative 2 end exponent space end cell equals cell fraction numerator open parentheses 3 squared close parentheses squared cross times open parentheses p to the power of negative 2 end exponent close parentheses squared open parentheses q squared close parentheses squared over denominator open parentheses 3 close parentheses squared open parentheses p to the power of negative 2 end exponent close parentheses squared open parentheses q to the power of 5 close parentheses squared end fraction end cell row cell open parentheses 3 p to the power of negative 2 end exponent q to the power of 5 close parentheses to the power of negative 2 end exponent over open parentheses 3 squared p to the power of negative 2 end exponent q squared close parentheses to the power of negative 2 end exponent space end cell equals cell fraction numerator 3 to the power of 4 cross times p to the power of negative 4 end exponent cross times q to the power of 4 over denominator 3 squared cross times p to the power of negative 4 end exponent cross times q to the power of 10 end fraction end cell end table$

Berdasarkan sifat bilangan berpangkat pembagian yaitu a to the power of m over a to the power of n equals a to the power of m minus n end exponent sehingga diperoleh

$table attributes columnalign right center left columnspacing 0px end attributes row cell open parentheses 3 p to the power of negative 2 end exponent q to the power of 5 close parentheses to the power of negative 2 end exponent over open parentheses 3 squared p to the power of negative 2 end exponent q squared close parentheses to the power of negative 2 end exponent space end cell equals cell fraction numerator 3 to the power of 4 cross times p to the power of negative 4 end exponent cross times q to the power of 4 over denominator 3 squared cross times p to the power of negative 4 end exponent cross times q to the power of 10 end fraction end cell row cell open parentheses 3 p to the power of negative 2 end exponent q to the power of 5 close parentheses to the power of negative 2 end exponent over open parentheses 3 squared p to the power of negative 2 end exponent q squared close parentheses to the power of negative 2 end exponent space end cell equals cell 3 to the power of 4 minus 2 end exponent p to the power of negative 4 minus left parenthesis negative 4 right parenthesis end exponent q to the power of 4 minus 10 end exponent end cell row cell open parentheses 3 p to the power of negative 2 end exponent q to the power of 5 close parentheses to the power of negative 2 end exponent over open parentheses 3 squared p to the power of negative 2 end exponent q squared close parentheses to the power of negative 2 end exponent space end cell equals cell 3 squared p to the power of 0 q minus 6 end cell row cell open parentheses 3 p to the power of negative 2 end exponent q to the power of 5 close parentheses to the power of negative 2 end exponent over open parentheses 3 squared p to the power of negative 2 end exponent q squared close parentheses to the power of negative 2 end exponent space end cell equals cell fraction numerator 9 cross times 1 over denominator q to the power of 6 end fraction end cell row cell open parentheses 3 p to the power of negative 2 end exponent q to the power of 5 close parentheses to the power of negative 2 end exponent over open parentheses 3 squared p to the power of negative 2 end exponent q squared close parentheses to the power of negative 2 end exponent space end cell equals cell 9 over q to the power of 6 end cell end table$

Dengan demikian, Bentuk sederhana dari open parentheses 3 p to the power of negative 2 end exponent q to the power of 5 close parentheses to the power of negative 2 end exponent over open parentheses 3 squared p to the power of negative 2 end exponent q squared close parentheses to the power of negative 2 end exponent space adalah table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell 9 over q to the power of 6. end cell end table